.1(x+15)=-2(4-x)

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Solution for .1(x+15)=-2(4-x) equation: 


Simplifying
0.1(x + 15) = -2(4 + -1x)

Reorder the terms:
0.1(15 + x) = -2(4 + -1x)
(15 * 0.1 + x * 0.1) = -2(4 + -1x)
(1.5 + 0.1x) = -2(4 + -1x)
1.5 + 0.1x = (4 * -2 + -1x * -2)
1.5 + 0.1x = (-8 + 2x)

Solving
1.5 + 0.1x = -8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
1.5 + 0.1x + -2x = -8 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
1.5 + -1.9x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.5 + -1.9x = -8 + 0
1.5 + -1.9x = -8

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -1.9x = -8 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.9x = -8 + -1.5
-1.9x = -8 + -1.5

Combine like terms: -8 + -1.5 = -9.5
-1.9x = -9.5

Divide each side by '-1.9'.
x = 5

Simplifying
x = 5

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